On Hermite-Hadamard type inequalities for Riemann-Liouville fractional integrals via two kinds of convexity

DOI10.1155/2014/173293zbMath1298.26020OpenAlexW2059092727WikidataQ59036372 ScholiaQ59036372MaRDI QIDQ463203

Feixiang Chen

Publication date: 16 October 2014

Published in: Chinese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/173293

zbMATH Keywords

\(m\)-convex functions\((\alpha,m)\)-convex functions

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Inequalities for sums, series and integrals (26D15)

Related Items (13)

\(k\)-fractional integral inequalities of Hadamard type for exponentially \((s, m)\)-convex functions ⋮ Fractional integral versions of Hermite-Hadamard type inequality for generalized exponentially convexity ⋮ Fractional Hadamard and Fejér-Hadamard inequalities associated with exponentially \((s,m)\)-convex functions ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Hadamard-type \(k\)-fractional integral inequalities for exponentially \((\alpha,h-m)\)-convex functions ⋮ Hadamard inequalities for strongly \((\alpha, m)\)-convex functions via Caputo fractional derivatives ⋮ Caputo fractional derivative Hadamard inequalities for strongly \(m\)-convex functions ⋮ \((h-m)\)-convex functions and associated fractional Hadamard and Fejér-Hadamard inequalities via an extended generalized Mittag-Leffler function ⋮ On integral inequalities related to the weighted and the extended Chebyshev functionals involving different fractional operators ⋮ $k-$fractional integral inequalities for $(h-m)-$convex functions via Caputo $k-$fractional derivatives ⋮ K-fractional integral inequalities of Hadamard type for (h − m)−convex functions

Cites Work

• More about Hermite-Hadamard inequalities, Cauchy's means, and superquadracity
• Hermite-Hadamard's type inequalities for operator convex functions
• Hadamard-type inequalities for s-convex functions
• Hermite-Hadamard's inequalities for fractional integrals and related fractional inequalities
• A note on the Hermite-Hadamard inequality
• Simple proof and refinement of Hermite-Hadamard inequality
• On some Hadamard-type inequalities for h-convex functions
• Hadamard-type inequalities for generalized convex functions
• A note on integral inequalities involving Two Log-Convex Functions
• THE HADAMARD INEQUALITIES FOR s-CONVEX FUNCTIONS IN THE SECOND SENSE
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